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Showing papers on "Laplace pressure published in 2021"


Journal ArticleDOI
TL;DR: In this article, the shell structure of hollow multishelled structures (HoMSs) has attracted tremendous attention owing to the optimal balance between mass transfer and surface exposure, and considering the shells structure can significantly affect the properties of HoMSs, a novel one-step strategy to continually regulate the shell structures of HOMSs was proposed.
Abstract: In the study on structure-property relationship for rational material design, hollow multishelled structures (HoMSs) have attracted tremendous attention owing to the optimal balance between mass transfer and surface exposure. Considering the shells structure can significantly affect the properties of HoMSs, in this paper, we provide a novel one-step strategy to continually regulate the shell structures of HoMSs. Through a simple phosphorization process, we can effectively modify the shell from solid to bubble-like and even to duplicate the shells with a narrow spacing. Benefitting from the structure merits, the fabricated CoP HoMSs with close duplicated shells can promote the gas releasing owing to the unbalanced Laplace pressure, while accelerating liquid transfer for the enhanced capillary force. It can provide effectively channels for water and gas and thus exhibit the superior electrocatalytic performance in hydrogen and oxygen evolution reaction.

51 citations


Journal ArticleDOI
TL;DR: In this article, a solid-liquid-gas multiphase-field lattice Boltzmann model is developed to describe the complex multi-phase interaction during solidification, which relaxes the assumption of pure metal system, simplified bubble shape and pure diffusion condition.

25 citations


Journal ArticleDOI
25 Apr 2021-Langmuir
TL;DR: Wang et al. as mentioned in this paper designed a geometry-gradient slippery surface (GGSS) based on aluminum alloy materials which could actively achieve directional self-movement and also antigravity selfmovement of various liquid droplets by topography gradient.
Abstract: Liquid directional self-transport on the functional surface plays an important role in both industrial and academic fields. Inspired by the natural cactus spine and pitcher plant, we have successfully designed a kind of geometry-gradient slippery surface (GGSS) based on aluminum alloy materials which could actively achieve directional self-movement and also antigravity self-movement of various liquid droplets by topography gradient. The mechanism of liquid directional self-transport was theoretically explored through the mechanical analysis of the triple contact line, which was mainly related to the competition between the driven force induced by Laplace pressure and the adhesive force induced by viscous resistance. The adhesive force between the droplet and the surface was quantitatively measured using a homemade experimental apparatus and the results showed that the lateral adhesive force on the GGSS is much smaller than that on the original surface. Additionally, a series of quantitative experiments were conducted to explore the influence of droplet volume and vertex angle on the transport distance and velocity. Finally, we achieved the antigravity self-transport of the droplet on the inclined GGSS to further verify the self-transport ability of the GGSS. We believe that the proposed GGSS with liquid directional self-transport ability in the present work would provide some potential opportunities in modern tribo-systems to optimize the lubricating qualities, especially the lubrication and friction at the extreme contact interface.

22 citations


Journal ArticleDOI
TL;DR: In this paper, the Laplace pressure difference, newly formed aluminum oxide, the capillary effect, and no extra pressure from a trapped atmosphere were investigated to solve the insufficient interfacial wetting for mechanical interlocking formation between polymers and substrates.
Abstract: Unique spindle microstructures with an apex angle of ∼20° bring the ability of directional water collection to various biosystems (i.e., spider silk and cactus stem). This has great potential to solve the insufficient interfacial wetting for mechanical interlocking formation between polymers and substrates. In this study, the bioinspired spindle microstructures were easily fabricated through the deposition of molten materials by a nanosecond laser with an overlap ratio of 21% between laser spots and achieved superior interfacial wetting for commercial epoxy adhesive on aluminum substrates. Detailed analyses show that there are four mechanisms responsible for the superior interfacial wettability of bioinspired spindle microstructures: the Laplace pressure difference, newly formed aluminum oxide, the capillary effect, and no extra pressure from a trapped atmosphere. Consequently, the bioinspired spindle surface microstructures achieve a maximum improvement of ∼16 and ∼39% in interfacial bonding strength before and after water soak exposure compared to the as-received condition. Moreover, the stable interfacial wettability of bioinspired spindle microstructures ensures that the improved joint strength varied little with an increase in surface roughness from ∼1.7 to ∼12.8 μm. However, the interfacial wettability of common dimple microstructures deteriorated with an increase in surface roughness, which is indicated by the decreasing rule in the quadratic polynomial function of the interfacial bonding strength as the surface roughness increases from ∼2.1 to ∼18.2 μm.

15 citations


Journal ArticleDOI
TL;DR: In this article, the Nusselt number, Poiseuille number, and its ratio (Nu/fRe) were estimated for each case under convective heat transport settings, and the suitability of shear-free and adiabatic conditions was underscored through multi-phase simulations.

13 citations


Journal ArticleDOI
TL;DR: In this paper, the authors measured the adhesive force between a tetrahydrofuran clathrate and a solid sphere and detected a strong adhesion, which originates from a capillary bridge that is formed from a nanometer-thick QLL on the clathrates surface.
Abstract: The adhesive force of clathrates to surfaces is a century-old problem of pipeline blockage for the energy industry. Here, we provide new physical insight into the origin of this force by accounting for the existence of a quasi-liquid layer (QLL) on clathrate surfaces. To gain this insight, we measure the adhesive force between a tetrahydrofuran clathrate and a solid sphere. We detect a strong adhesion, which originates from a capillary bridge that is formed from a nanometer-thick QLL on the clathrate surface. The curvature of this capillary bridge is nanoscaled, causes a large negative Laplace pressure, and leads to a strong capillary attraction. The microscopic capillary bridge expands and consolidates over time. This dynamic behavior explains the time-dependent increase of measured capillary forces. The adhesive force decreases greatly upon increasing the roughness and the hydrophobicity of the sphere, which founds the fundamental basics for reducing clathrate adhesion by using surface coating.

13 citations


Journal ArticleDOI
29 Nov 2021-ACS Nano
TL;DR: Wang et al. as mentioned in this paper presented a strategy to achieve directional liquid transport on transparent lubricating oil infused elastomer film with V-shaped prisms microarray (VPM), which revealed that the water wetting direction in the parallel and staggered arrangement of the VPM structure surface with lubricating oils infusion is the opposite, which is completely different from the usual VPM surface in air.
Abstract: Direction-controlled wetting surfaces, special for lubricating oil infused anisotropic surfaces, have attracted great research interest in directional liquid collection, expelling, transfer, and separation. Nonetheless, there are still existing difficulties in achieving directional and continuous liquid transport. Herein, we present a strategy to achieve directional liquid transport on transparent lubricating oil infused elastomer film with V-shaped prisms microarray (VPM). The results reveal that the water wetting direction in the parallel and staggered arrangement of the VPM structure surface with lubricating oil infusion is the opposite, which is completely different from the wetting direction on the usual VPM surface in air. Moreover, asymmetric stretching can enhance or weaken the directional water wetting tendency on the lubricating oil infused VPM elastomer film and even can reverse the droplet wetting direction. In a closed moist environment, tiny droplets gradually coalesce and then slip away from the lubricating oil infused VPM surface to keep the surface transparent, due to the cooperation of imbalanced Laplace pressure, resulting from the anisotropic geometric structures, varying VPMs spacing, and gravity. Thus, this work provides a paradigm to design and fabricate a type of surface engineering material in the application fields of directional expelling, liquid collection, anti-biofouling, anti-icing, drag reduction, anticorrosion, etc.

12 citations


Journal ArticleDOI
TL;DR: In this paper, the authors recalculated the effect of electrostatic stress arising from charges accumulated at the surface of nanobbles and found that electrostatic interaction may not be the main factor for stabilizing bulk nanobubbles.
Abstract: It has been suggested that electrostatic stress arising from charges accumulated at the surface of nanobubbles might balance Laplace pressure leading to their stability. This mechanism has been widely discussed in the nanobubble field for the past decade. However, the stress in the diffusive double layer was overlooked when calculating the electrostatic effect in previous theories. In this communication, we recalculated this effect using the classical double layer theory. Combined with experimentally measured zeta potential, we find that the ratio of electrostatic pressure to Laplace pressure is much less than 10-2, which suggests that electrostatic interaction may not be the main factor for stabilizing bulk nanobubbles.

11 citations


Journal ArticleDOI
TL;DR: In this article, the Laplace pressure inside nanometer-sized aerosols is considered as a key property that significantly impacts chemical processes that govern atmospheric aerosol growth and evolution, and numerical simulations illustrate the reduction in the production of the main glyoxal reaction products.
Abstract: The composition of organic aerosol has a pivotal influence on aerosol properties such as toxicity and cloud droplet formation capability, which could affect both climate and air quality. However, a comprehensive and fundamental understanding of the chemical and physical processes that occur in nanometer-sized atmospheric particles remains a challenge that severely limits the quantification and predictive capabilities of aerosol formation pathways. Here, we investigated the effects of a fundamental and hitherto unconsidered physical property of nanoparticles-the Laplace pressure. By studying the reaction of glyoxal with ammonium sulfate, both ubiquitous and important atmospheric constituents, we show that high pressure can significantly affect the chemical processes that occur in atmospheric ultrafine particles (i.e., particles < 100 nm). Using high-resolution mass spectrometry and UV-vis spectroscopy, we demonstrated that the formation of reaction products is strongly (i.e., up to a factor of 2) slowed down under high pressures typical of atmospheric nanoparticles. A size-dependent relative rate constant is determined and numerical simulations illustrate the reduction in the production of the main glyoxal reaction products. These results established that the high pressure inside nanometer-sized aerosols must be considered as a key property that significantly impacts chemical processes that govern atmospheric aerosol growth and evolution.

10 citations


Journal ArticleDOI
TL;DR: An emulsification process of water-gallium system during ultrasound irradiation was investigated and found that a high-velocity liquid jet makes a cavity in the surface of gallium forcing it to take a crown shape that eventually results in droplet fragmentation.

10 citations


Journal ArticleDOI
TL;DR: In this paper, a liquid assisted strategy for single-layer Janus membrane is developed, which can efficiently decrease the critical breakthrough pressure from superhydrophobic side to hydrophilic side and show little influence on that in the reverse direction.
Abstract: Unidirectional liquid penetration plays an important role in many fields, such as microfluidic devices, biological medical, liquid printing, and oil/water separation. Although there are some progresses in the liquid unidirectional penetration using a variety of Janus membranes with anisotropic wettability, it still remains a great difficulty for single-layer Janus membranes with straight pore to balance spontaneous liquid penetration in positive direction and superior liquid resistance in the reverse direction. Herein, a liquid-assisted strategy for single-layer Janus membrane is developed, which can efficiently decrease the critical breakthrough pressure from superhydrophobic side to hydrophilic side and show little influence on that in the reverse direction. Consequently, unidirectional water penetration with high hydraulic pressure difference can be achieved. The Laplace pressure change along the thickness of the single-layer Janus membranes is further discussed, and the mechanism by which the auxiliary liquid decreases the critical breakthrough pressure is revealed. Furthermore, this Janus membrane with unidirectional water penetration "diode" performance can be used to prevent liquid backflow in intravenous transfusion. It is believed that this work can open an avenue for people to design single-layer Janus membrane with high pressure difference and find wide applications in unidirectional liquid transport.

Journal ArticleDOI
TL;DR: In this paper, a new surface tension model for particle methods using a density gradient potential was developed, where the surface potential is formulated in combination with cohesive pressure potential and density gradient, and the interaction force with respect to surface tension is derived from the potential.

Journal ArticleDOI
TL;DR: In this article, a modified lattice Boltzmann pseudopotential multicomponent and multiphase model is developed and analyzed, which is capable of simulating large density ratios and viscosity ratios while ensuring thermodynamic consistency.

Journal ArticleDOI
23 Jun 2021-Langmuir
TL;DR: In this paper, the authors proposed a mean-field theory for computing the evolution of the size distribution function of bulk nanobubbles with size-dependent surface tension, and applied this theory to investigate the evolution with insoluble surfactants pinned at their gas/water interface.
Abstract: It has been suggested that irreversible adsorption at the gas/liquid interface of bulk nanobubbles will reduce the Laplace pressure, leading to their stability. However, most previous studies have focused on the stability of individual nanobubbles. Bulk nanobubbles are polydispersed suspensions, and gas molecules can diffuse between bubbles, leading to their collective dynamics, which may be crucial to understanding their formation process and stability. In this study, we proposed a mean-field theory for computing the evolution of the size-distribution function of bulk nanobubbles with size-dependent surface tension. We applied this theory to investigate the evolution of bulk nanobubbles with insoluble surfactants pinned at their gas/water interface. The results show that Ostwald ripening can be suppressed when enough surfactants are adsorbed. Bulk nanobubbles can be produced by the shrinkage of microbubbles in an air-saturated solution. The mean stable size is controlled by the amount of surfactants and the initial microbubble concentration; these predictions are qualitatively consistent with the experimental results of micro/nanobubbles produced using the microfluidic method.

Journal ArticleDOI
Jiaqian Li1, Wei Li1, Xin Tang1, Xing Han1, Liqiu Wang1 
02 Jul 2021-Langmuir
TL;DR: In this article, the authors show that the tensile liquid-liquid adhesion and the corresponding liquid residue are solely mediated by the lubricant, independent of the underlying surface topography.
Abstract: Lubricant-impregnated surfaces have recently emerged as a new type of multifunctional coating with a promising capability in exhibiting low friction or contact angle hysteresis. However, lubricant-infused surfaces severely suffer from the tensile droplet-lubricant adhesion. In this study, we show that lubricant-infused surfaces allow for a strong tensile droplet adhesion, which results in the generation of an offspring residual droplet when a droplet detaches from the surface. Such tensile liquid-liquid adhesion and the corresponding liquid residue are solely mediated by the lubricant, independent of the underlying surface topography. We reveal how the lubricant film mediates droplet adhesion by measuring the maximum adhesion force and liquid residue and theoretically analyzing Laplace pressure force from the droplet shape and surface tension force depending on the contact line. Further, the presence of lubricant-induced adhesion considerably compromises the advantages of lubricant-infused surfaces in some applications. The lubricant-triggered tensile adhesion hampers the loss-free droplet transfer away from the surfaces in the photoelectrically and magnetically driven droplet manipulation. In addition, we demonstrate that the lubricant-triggered adhesion plays a dominant role in attenuating the efficiency of fog harvesting by impeding the shedding of the intercepted droplets by comparing the onset time, droplet radius, and collection efficiency. These findings advance our fundamental understanding of droplet adhesion on lubricant-infused surfaces and significantly benefit the design of lubricant-infused surfaces for various applications.

Journal ArticleDOI
TL;DR: The molecular mechanism of the pressure-induced membrane fusion was explored by observing the fusion of two GVs with almost the same size and it was revealed that the fusion is caused by the actions of Laplace and osmotic pressure.

Journal ArticleDOI
28 May 2021
TL;DR: In this paper, the energy conservation law for a free surface in a control volume moving with a specified velocity, independent of the liquid velocity, is derived and extended to the full system energy including the bulk flow.
Abstract: How do surface tension forces contribute to the energy budget in a flowing liquid with a free surface? One might expect that these forces always produce power when the fluid is flowing. Here we show, however, that there is no power term if the surface itself does not move, i.e., for a fixed control volume. The energy conservation law for a free surface in a control volume moving with a specified velocity, independent of the liquid velocity, is derived and extended to the full system energy including the bulk flow. The Laplace pressure and tangential capillary forces then appear naturally, and the power provided by the latter forces is given through the velocity of the control volume and not that of the flow.

Journal ArticleDOI
TL;DR: In this article, the growth and self-jumping dynamics of nanodroplets condensed on the superhydrophobic nanostructured surface with local hydrophilic pinning site are systematically investigated.

Journal ArticleDOI
TL;DR: In this article, a magnetically actuated superhydrophobic ratchet surface composed of nanostructured black silicon strips on elastomer ridges is presented, where a water droplet is formed into an asymmetric shape, which creates a Laplace pressure gradient due to the contact angle difference between two sides.
Abstract: A water droplet dispensed on a superhydrophobic ratchet surface is formed into an asymmetric shape, which creates a Laplace pressure gradient due to the contact angle difference between two sides. This work presents a magnetically actuated superhydrophobic ratchet surface composed of nanostructured black silicon strips on elastomer ridges. Uniformly magnetized NdFeB layers sputtered under the black silicon strips enable an external magnetic field to tilt the black silicon strips and form a superhydrophobic ratchet surface. Due to the dynamically controllable Laplace pressure gradient, a water droplet on the reported ratchet surface experiences different forces on two sides, which are explored in this work. Here, the detailed fabrication procedure and the related magnetomechanical model are provided. In addition, the resultant asymmetric spreading of a water droplet is studied. Finally, droplet impact characteristics are investigated in three different behaviors of deposition, rebound, and penetration depending on the impact speed. The findings in this work are exploitable for further droplet manipulation studies based on a dynamically controllable superhydrophobic ratchet surface.

Journal ArticleDOI
TL;DR: In this article, the link between interfacial elasticity of foaming solutions and the elasticity and yield stress of their aqueous foams is probed for a variety of surfactant, block-copolymer, protein, food, and particle-stabilized (Pickering) foams.
Abstract: The link between interfacial elasticity of foaming solutions and the elasticity and yield stress of their aqueous foams is probed for a variety of surfactant, block-copolymer, protein, food, and particle-stabilized (Pickering) foams. We measured interfacial tension σ and interfacial elastic moduli of foaming solutions in dilation E∞ as well as in shear at concentrations suitable for foaming and compared them to the shear modulus and yield stress of corresponding foams normalized by bubbles’ Sauter radius R32 and foams’ gas volume fraction. The interfacial shear modulus was only measurable for the foaming solutions including proteins or nanoparticles. For these systems the foam shear modulus scaled reasonably well with . The interfacial dilational modulus was accessible for all investigated systems and the foam shear modulus as well as yield stress scaled with a generalized Laplace pressure (σ + 2E∞)/R32. But foams stabilized by nanoparticles or aggregated proteins exhibited even higher shear modulus and yield stress values not captured by the proposed scaling with the generalized Laplace pressure and also show an unexpectedly high dependence of these characteristics on the gas volume fraction. We attribute this to attractive forces between particles and/or structure formation across the lamellae that become increasingly dominant as the lamellae narrow down during foam drainage.

Journal ArticleDOI
09 Jul 2021-Langmuir
TL;DR: In this article, the wetting property of spherical particles in a hexagonal close-packed (HCP) ordering from extended Gibbs free energy (GFE) and Laplace pressure view points is studied.
Abstract: The wetting property of spherical particles in a hexagonal close-packed (HCP) ordering from extended Gibbs free energy (GFE) and Laplace pressure view points is studied. A formalism is proposed to predict the contact angle (θ) of a droplet on the HCP films and penetration angle (α) of the liquid on the spherical particles. Then, the extended Laplace pressure for the layered HCP ordering is calculated and a correlation between the wetting angle, sign of pressure, and pressure gradient is achieved. Our results show that the sign and the slope of pressure are important criteria for determining the wettability state and it is found that the contact angle is independent of the particle radius, as supported by various experimental reports. The pressure gradient for the HCP films with Young contact angle higher than (lower than) a critical contact angle, 135° (45°), is positive (negative), indicating the superhydrophobicity (superhydrophilicity) state of the surface. To validate the proposed formulation, theoretical calculations are compared with the reported experimental measurements, showing a good agreement.

Journal ArticleDOI
TL;DR: In this article, the authors performed digital video image processing of sessile droplets and Laplace fit optimization is one of the most widely used modern techniques to measure the contact angle.
Abstract: Performing digital video image processing of sessile droplets and Laplace fit optimization is one of the most widely used modern techniques to measure the contact angle. The attractive feature of t...

Journal ArticleDOI
24 Sep 2021-iScience
TL;DR: In this paper, the effect of the Laplace pressure on the shape and function of the cells during cytokinesis was investigated, and it was shown that the effect can directly control the distribution and size of cell blebbing and adjust the symmetry of cell division.

Journal ArticleDOI
TL;DR: In this paper, the deformation and breakup of a liquid drop immersed in another immiscible liquid and flowing through a single pore has been studied numerically using a conservative phase-field lattice Boltzmann method.

Journal ArticleDOI
TL;DR: In this paper, the Young-Laplace equation is used for quantitative predictions when the Laplace pressure is computed with a constant surface energy value, as usually done in the literature.
Abstract: This study is dedicated to the determination of the surface energy and stress of nanoparticles and cavities in presence of pressure, and to the evaluation of the accuracy of the Young-Laplace equation for these systems. Procedures are proposed to extract those quantities from classical interatomic potentials calculations, carried out for three distinct materials: aluminum, silicon, and iron. Our investigations first reveal the increase of surface energy and stress of nanoparticles as a function of pressure. On the contrary we find a significant decrease for cavities, which can be correlated to the initiation of plastic deformation at high pressure. We show that the Young-Laplace equation should not be used for quantitative predictions when the Laplace pressure is computed with a constant surface energy value, as usually done in the literature. Instead, a significant improvement is obtained by using the diameter and pressure-dependent surface stress. In that case, the Young-Laplace equation can be used with a reasonable accuracy at low pressures for nanoparticles with diameters as low as 4 nm, and 2 nm for cavities. At lower sizes, or high pressures, a severely limiting factor is the challenge of extracting meaningful surface stress values.

Journal ArticleDOI
TL;DR: In this article, a controllable bulk mixing (CBM) method is designed to fabricate monodispersed bulk nanobubbles at a low volume ratio of ethanol to water (less than 10:100).

Journal ArticleDOI
TL;DR: In this paper, the authors reconstruct the 3D pressure field and derive 3D contributions of the energy dissipation from a 3D3C velocity field measurement of Taylor droplets moving in a horizontal microchannel.
Abstract: In this study, we reconstruct the 3D pressure field and derive the 3D contributions of the energy dissipation from a 3D3C velocity field measurement of Taylor droplets moving in a horizontal microchannel (Ca c= 0.0050 , Re c= 0.0519 , Bo = 0.0043 , λ=ηdηc=2.625). We divide the pressure field in a wall-proximate part and a core-flow to describe the phenomenology. At the wall, the pressure decreases expectedly in downstream direction. In contrast, we find a reversed pressure gradient in the core of the flow that drives the bypass flow of continuous phase through the corners (gutters) and causes the Taylor droplet’s relative velocity between the faster droplet flow and the slower mean flow. Based on the pressure field, we quantify the driving pressure gradient of the bypass flow and verify a simple estimation method: the geometry of the gutter entrances delivers a Laplace pressure difference. As a direct measure for the viscous dissipation, we calculate the 3D distribution of work done on the flow elements, that is necessary to maintain the stationarity of the Taylor flow. The spatial integration of this distribution provides the overall dissipated energy and allows to identify and quantify different contributions from the individual fluid phases, from the wall-proximate layer and from the flow redirection due to presence of the droplet interface. For the first time, we provide deep insight into the 3D pressure field and the distribution of the energy dissipation in the Taylor flow based on experimentally acquired 3D3C velocity data. We provide the 3D pressure field of and the 3D distribution of work as supplementary material to enable a benchmark for CFD and numerical simulations. Graphical abstract: [Figure not available: see fulltext.]

DOI
22 Nov 2021
TL;DR: In this article, the free-surface deformation dynamics of an immersed glassy thin polymer film supported on a substrate, induced by an air nanobubble at the free surface was studied.
Abstract: We study the free-surface deformation dynamics of an immersed glassy thin polymer film supported on a substrate, induced by an air nanobubble at the free surface. We combine analytical and numerical treatments of the glassy thin film equation, resulting from the lubrication approximation applied to the surface mobile layer of the glassy film, under the driving of an axisymmetric step function in the pressure term accounting for the nanobubble's Laplace pressure. Using the method of Green's functions, we derive a general solution for the film profile. We show that the lateral extent of the surface perturbation follows an asymptotic viscocapillary power-law behaviour in time, and that the film's central height decays logarithmically in time in this regime. This process eventually leads to film rupture and dewetting at finite time, for which we provide an analytical prediction exhibiting explicitly the dependencies in surface mobility, film thickness and bubble size, among others. Finally, using finite-element numerical integration, we discuss how non-linear effects induced by the curvature and film profile can affect the evolution.

Journal ArticleDOI
TL;DR: In this study, effect of various liquids on movement of air bubble under liquid was studied and it was found that liquids with high surface tension and high density are more efficient in moving air bubbles.

Journal ArticleDOI
TL;DR: In this paper, an atomistic simulation-based methodology for studying the dispersed droplet phase in immiscible alloys was developed to study the temperature and curvature effects on the droplet radial distributions of thermodynamic properties, the mutual miscibilities within the spherical droplets, and the pressure differences across the curved liquid-liquid interfaces.
Abstract: This study develops an atomistic simulation-based methodology for studying the dispersed droplet phase in immiscible alloy. The methodology is applied to the immiscible Al–Pb alloy liquid droplet system to study the temperature and curvature effects on the droplet radial distributions of thermodynamic properties, the mutual miscibilities within the spherical droplets, and the pressure differences across the curved liquid–liquid interfaces. The pressure tensor components profiles along radial direction are computed by the Irving–Kirkwood method coupling the spherical coordination and providing the inner droplet pressure data with sufficient statistical precision to validate the generalized Laplace equation in a liquid immiscible alloy system (both Al-rich convex droplet interface and Pb-rich concave droplet interface). Noticeable changes in mutual miscibilities in the droplet phases are seen, which correspond to the shifts of the solvus lines toward lower solubilities as temperature increases or the droplet size decreases. Compared with spherical droplets under the same temperature, cylindrical droplets with the same radii own the same Laplace pressure dependence of the mutual miscibilities but a weaker capability to tune the nano-alloy droplet phase diagram. Current findings contradict the miscibility changes in the two-complexion equilibria within the monoatomic layer at the Al(111)–Pb(liquid) interface [Acta Mater 2018;143:329]. The combined simulation-characterization methodology proposed in this study applies to broader types of immiscible alloy. The calculated data could provide guides to design well-dispersed droplet phases in the immiscible alloys and their manufacturing processes, facilitate the development of the thermodynamic theory/modeling of the nano-sized alloy phase diagram.